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An Improved Model for Estimating Ice Ablation under a Debris Cover

HAN Hai-dong1,LIU Shi-yin2,3,DING Yong-jian1,2(1.Laboratory of Watershed Hydrology and Applied Ecology in Cold and Arid Regions,CAREERI,CAS,Lanzhou Gansu 730000,China;2.State Key Laboratory of Cryosphere Science,CAREERI,CAS,Lanzhou Gansu 730000,China;3.Institute of Tibetan Plateau Research,Chinese Academy of Sciences,Beijing 100085,China)  
In this paper,an improved model with upswing numerical solution,model assumption and model structure for estimating ice ablation under a debris cover is proposed to present a robust model and to reduce the errors as compared with the previous models.The case study on Koxkar Glacier shows that,in general,the agreement between the simulated and observed debris temperatures is good.The diurnal variability of the observed debris temperature is well captured by the proposed model.However,there is a phase difference between the simulated and observed debris temperatures.In practice,this problem can be handled by a phase correction procedure,which applies a properly selected phase lag in calibration period to the simulation period.The case study also shows that the two seemingly restrictive assumptions,constant debris thermal properties and uniform debris temperature profile at the beginning of the computation,have no adverse impact on the model simulation.Analyzing the relation between the simulated and observed ice ablation rates also shows that the model is good.
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